Question:
Mark (✓) against the correct answer:
A number exceeds 25% of itself by 60. The number is
(a) 75
(b) 45
(c) 80
(d) 65
Solution:
(c) 80
Let the required number be $\mathrm{x}$. Then, we have :
$(25 \%$ of $x)+60=x$
$\Rightarrow\left(x \times \frac{25}{100}\right)+60=x$
$\Rightarrow \frac{25 x}{100}+60=x$
$\Rightarrow\left(\frac{25 x}{100}-x\right)=-60$
$\Rightarrow \frac{-75 x}{100}=-60$
$\Rightarrow x=\left(60 \times \frac{100}{75}\right)$
$\Rightarrow x=80$